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Finding the Fourth Proportional to 65,273.49, 97,953.98 and 41,916.33

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Solution

The fourth proportional to 65,273.49, 97,953.98 and 41,916.33 is: 62,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273.49 : 97,953.98 = 41,916.33 : x
  2. Step 2: Convert to fraction form
    65,273.49/97,953.98 = 41,916.33/x
  3. Step 3: Cross multiply
    65,273.49x = 97,953.98 × 41,916.33
  4. Step 4: Simplify right side
    65,273.49x = 4,105,871,140.91
  5. Step 5: Solve for x
    x = 4,105,871,140.91/65,273.49
  6. Step 6: Final answer
    x = 62,902.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.